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Finding the Fourth Proportional to 101,969.28, 140,702.40 and 57,248.64

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Solution

The fourth proportional to 101,969.28, 140,702.40 and 57,248.64 is: 78,994.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,969.28 : 140,702.40 = 57,248.64 : x
  2. Step 2: Convert to fraction form
    101,969.28/140,702.40 = 57,248.64/x
  3. Step 3: Cross multiply
    101,969.28x = 140,702.40 × 57,248.64
  4. Step 4: Simplify right side
    101,969.28x = 8,055,021,044.74
  5. Step 5: Solve for x
    x = 8,055,021,044.74/101,969.28
  6. Step 6: Final answer
    x = 78,994.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.